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Finding the Fourth Proportional to 8,291.66, 12,437.06 and 3,097.13

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Solution

The fourth proportional to 8,291.66, 12,437.06 and 3,097.13 is: 4,645.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,291.66 : 12,437.06 = 3,097.13 : x
  2. Step 2: Convert to fraction form
    8,291.66/12,437.06 = 3,097.13/x
  3. Step 3: Cross multiply
    8,291.66x = 12,437.06 × 3,097.13
  4. Step 4: Simplify right side
    8,291.66x = 38,519,113.97
  5. Step 5: Solve for x
    x = 38,519,113.97/8,291.66
  6. Step 6: Final answer
    x = 4,645.53

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.